From the Intermediate Value Theorem, is it guaranteed that there is a root of the given equation in the given interval?

e^x= sinx (1,2)

How isn't this function not continous over (1,2).... I mean e^x-sinx seems continous to me.

Question

From the Intermediate Value Theorem, is it guaranteed that there is a root of the given equation in the given interval?

 e^x= sinx   (1,2)

How isn't this function not continous over (1,2).... I mean   e^x-sinx seems continous to me.

anonymous · Answer

I mean I plug in 0 and I get an answer, doesn't that mean there's a root?